Thursday, October 7, 2010

Fraction PSLE 2010 P1 Q30

30.  In the diagram below, ACEG and BDFH are squares. AB, CD, EF and GH are of the same length. The ratio of AB: BC is 2:1.




What fraction of the square ACEG is shaded?


3  x  3  =  9

4  x  1/2  x  1  x  2  =  4

9  -  4  =  5

5/9

1 comment:

  1. As appeared in PSLE 2010 exam:

    In the diagram below, ACEG and BDFH are squares. AB, CD, EF and GH are of the same length. The ratio of AB: BC is 2:1.
    What fraction of the square ACEG is shaded?

    Diagram given:
    Start from point A at the left hand corner. Point A passes point B and end at point C (right hand corner). Point C goes down, passes point D and end at point E (right hand bottom). Point E passes point F and ends at point G (left hand bottom). Point G goes up, passes point H and ends at point A.

    Ratio of length:
    AB: BC -> 2:1
    CD: DE -> 2:1
    EF: FG -> 2:1
    GH: HA -> 2:1

    Join points H,B,D and F to form a shaded area (square BDFH)inside the square ACEG.

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